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Finding the Fourth Proportional to 528.30, 788.63 and 463.50

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Solution

The fourth proportional to 528.30, 788.63 and 463.50 is: 691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.30 : 788.63 = 463.50 : x
  2. Step 2: Convert to fraction form
    528.30/788.63 = 463.50/x
  3. Step 3: Cross multiply
    528.30x = 788.63 × 463.50
  4. Step 4: Simplify right side
    528.30x = 365,531.16
  5. Step 5: Solve for x
    x = 365,531.16/528.30
  6. Step 6: Final answer
    x = 691.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.